Home
Class 12
MATHS
The equation of ellipse whose focus is ...

The equation of ellipse whose focus is
` (0, sqrt(a^(2) -b^(2) ) ) , ` directrix is y = ` (a^(2))/( sqrt(a^(2) -b^(2))` and eccentricity is `( sqrt(a^(2) -b^(2)) )/( a ) ` is

A

` (x^(2) )/(a^(2))+( y^(2))/( b^(2)) = 1 `

B

` (x^(2) )/(b^(2)) +(y^(2))/( a^(2)) =1`

C

` (x^(2))/( a^(2)) +(y^(2))/( b^(2))= 2 `

D

` (x^(2)) /( b^(2)) +(y^(2))/( a^(2)) = 2`

Text Solution

Verified by Experts

The correct Answer is:
B
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • REVISION EXERCISE

    AAKASH SERIES|Exercise HYPERBOLA|46 Videos

  • REVISION EXERCISE

    AAKASH SERIES|Exercise STRAIGHT LINES|24 Videos

  • REVISION EXERCISE

    AAKASH SERIES|Exercise PARABOLA|50 Videos

  • RANDOM VARIABLES

    AAKASH SERIES|Exercise Exercise 4.4|9 Videos

  • SEQUENCE AND SERIES

    AAKASH SERIES|Exercise Practice Exercise|71 Videos

Similar Questions

Explore conceptually related problems

The equation of the ellipse whose focus is (3, -2), eccentricity 3/4 an directrix 2x-y+3=0

find the equation of the ellipse with focus at (1, -1), e=(2)/(3) and directrix as x+y+2=0 .

Knowledge Check

  • sqrt(4ab - 2i (a^(2) - b^(2) ) =

    A
    `pm {((a-b) + i(a-b))/(2)}`
    B
    `pm {(i+ 5b) + (a - 4b)}`
    C
    `pm {(a + b) - i(a - b)}`
    D
    `pm {(I +b) - i(a-b)}`

  • The equation of the hyperbola whose focus is origin, eccentricity sqrt2 and directrix x+y+1=0 is

    A
    ` 15x^(2) -24xy + 8y^(2) +12x + 2y -19 =0 `
    B
    ` 2xy + 2x+2y +1=0`
    C
    `11x^(2) +24xy + 4y^(2) -74x - 48y + 99=0 `
    D
    ` 7x^(2) +12xy -2y^(2) -2x + 14y -22=0`

  • (d )/(dx ) { (2)/( sqrt(a ^(2) - b ^(2))) Tan ^(-1) (( sqrt (a -b ))/( a + b) tan (x )/(2 )) }=

    A
    ` a + b sin x `
    B
    `a + b cos x `
    C
    ` (1)/( a+ b sin x )`
    D
    `(1)/( a + b cos x )`

    • Similar Questions

    Explore conceptually related problems

    The equation of the ellipse whose focus is (2, 4), centre is (3, 4) and eccentricity is 1/2 is

    Find the equation of the ellipse whose focus (-1,1) e=1/2 and directrix is x-y+3=0

    Find the equation of the ellipse with focus at (1,-1) e= 2/3 and directrix as x+y+2=0 .

    Find the equation of the ellipse whose focus is (0,3),eccentricity is 3/5 and the directrix is 3y - 25 = 0

    Find the equation of the hyperbola whose foci are (1,2), e=sqrt3 and the directrix is 2x+y=1.

    Home
    Profile